Least Common Multiple of 9922 and 9927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9922 and 9927 the smallest integer that is 98495694 that is divisible by both numbers.

Least Common Multiple (LCM) of 9922 and 9927 is 98495694.

LCM(9922,9927) = 98495694

LCM of 9922 and 9927

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9922 and 9927

LCM of 9922 and 9927 is 98495694

Least common multiple can be found by multiplying the highest exponent prime factors of 9922 and 9927. First we will calculate the prime factors of 9922 and 9927.

Prime Factorization of 9922


2 9922
11 4961
11 451
41 41
1

Prime factors of 9922 are 2, 11,41. Prime factorization of 9922 in exponential form is:

9922 = 21×112×411

Prime Factorization of 9927


3 9927
3 3309
1103 1103
1

Prime factors of 9927 are 3,1103. Prime factorization of 9927 in exponential form is:

9927 = 32×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 9922 and 9927.

LCM(9922,9927) = 21×32×112×411×11031
LCM(9922,9927) = 98495694

Factors of 9922

List of positive integer factors of 9922 that divides 9922 without a remainder.

1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1, 3, 9, 1103, 3309, 9927

Least Common Multiple of 9922 and 9927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9922 and 9927, than apply into the LCM equation.

GCF(9922,9927) = 1
LCM(9922,9927) = ( 9922 × 9927) / 1
LCM(9922,9927) = 98495694 / 1
LCM(9922,9927) = 98495694

Properties of LCM 9922 and 9927

(i) The LCM of 9927 and 9922 is associative

LCM of 9922 and 9927 = LCM of 9927 and 9922

Related Least Common Multiples of 9922

Related Least Common Multiples of 9927

Frequently Asked Questions on LCM of 9922 and 9927

1. What is the LCM of 9922 and 9927?

Answer: LCM of 9922 and 9927 is 98495694.

2. What are the Factors of 9922?

Answer: Factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922. There are 12 integers that are factors of 9922. The greatest factor of 9922 is 9922.

3. What are the Factors of 9927?

Answer: Factors of 9927 are 1, 3, 9, 1103, 3309, 9927. There are 6 integers that are factors of 9927. The greatest factor of 9927 is 9927.

4. How to Find the LCM of 9922 and 9927?

Answer:

Least Common Multiple of 9922 and 9927 = 98495694

Step 1: Find the prime factorization of 9922

9922 = 2 x 11 x 11 x 41

Step 2: Find the prime factorization of 9927

9927 = 3 x 3 x 1103

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 98495694 = 2 x 3 x 3 x 11 x 11 x 41 x 1103

Step 4: Therefore, the least common multiple of 9922 and 9927 is 98495694.